Influence of the Dufour Effect on Shear Thermal Diffusion Flows

The article considers thermal diffusion shear flows of a viscous incompressible fluid with spatial acceleration. simulation uses system equations (in the Boussinesq approximation), taking into account Dufour effect. This makes it possible to describe gases, for which this effect prevails, from unified standpoint. It is shown that flows, under study nonlinear and overdetermined. In view absence theorem on existence smoothness solution Navier–Stokes equation, integration existing seems be an extremely difficult task. studies question in class functions represented as complete linear forms two Cartesian coordinates non-linear (with respect third coordinate) coefficients. non-trivially solvable certain condition (compatibility condition) constructed by authors. corresponding formulated proven. These conclusions are illustrated comparison previously obtained results.